In a triangle ABC AB = 5 cm, AC = 4 cm. Name the angles of the triangle in descending order of their degree measures.

For the sake of brevity, we introduce the notation: a = BC, b = AC, and c = AB.
Given sides c = 5 cm> b = 4 cm.
Side a is not specified, it must satisfy the condition a> 0.
Let’s use the “Theorem on the relations between the sides and angles of a triangle”.
Let’s arrange the angles of the triangle in descending order of their degree measures for each of the following 5 possible cases.
Answers:

For c> b> a> 0: ∠C, ∠B, ∠А.
For c> b = a: ∠C, ∠B = ∠А.
For c> a> b: ∠C, ∠A, ∠B.
For c = a> b: ∠C = ∠A, ∠B.
For a> c> b: ∠А, ∠C, ∠B.